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Finding the Third Proportional to 64,064,523 and 138,206,742

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Solution

The third proportional to 64,064,523 and 138,206,742 is: 298,154,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,064,523 : 138,206,742 = 138,206,742 : x
  2. Step 2: Convert to fraction form
    64,064,523/138,206,742 = 138,206,742/x
  3. Step 3: Cross multiply
    64,064,523x = 138,206,742 × 138,206,742
  4. Step 4: Simplify right side
    64,064,523x = 19,101,103,534,254,564
  5. Step 5: Solve for x
    x = 19,101,103,534,254,564/64,064,523
  6. Step 6: Final answer
    x = 298,154,152.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.